TSTP Solution File: KRS160+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS160+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:19:52 EDT 2024
% Result : Theorem 0.13s 0.35s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 78 ( 20 unt; 0 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 242 ( 95 ~; 96 |; 32 &)
% ( 15 <=>; 3 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 10 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 21 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f218,plain,
$false,
inference(avatar_sat_refutation,[],[f138,f143,f172,f197,f199,f202,f204,f208,f212,f215,f217]) ).
fof(f217,plain,
~ spl9_7,
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f216,plain,
( $false
| ~ spl9_7 ),
inference(resolution,[],[f180,f85]) ).
fof(f85,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f180,plain,
( cowlNothing(sK1)
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl9_7
<=> cowlNothing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f215,plain,
( ~ spl9_8
| ~ spl9_9 ),
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f214,plain,
( $false
| ~ spl9_8
| ~ spl9_9 ),
inference(resolution,[],[f213,f184]) ).
fof(f184,plain,
( xsd_string(sK0)
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl9_8
<=> xsd_string(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f213,plain,
( ~ xsd_string(sK0)
| ~ spl9_9 ),
inference(resolution,[],[f187,f87]) ).
fof(f87,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f187,plain,
( xsd_integer(sK0)
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl9_9
<=> xsd_integer(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f212,plain,
spl9_11,
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f209,plain,
( $false
| spl9_11 ),
inference(resolution,[],[f196,f82]) ).
fof(f82,plain,
cowlThing(iV21081),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
cowlThing(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f196,plain,
( ~ cowlThing(iV21081)
| spl9_11 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl9_11
<=> cowlThing(iV21081) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).
fof(f208,plain,
spl9_10,
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f205,plain,
( $false
| spl9_10 ),
inference(resolution,[],[f192,f81]) ).
fof(f81,plain,
cowlThing(iV21080),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
cowlThing(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f192,plain,
( ~ cowlThing(iV21080)
| spl9_10 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl9_10
<=> cowlThing(iV21080) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f204,plain,
( spl9_8
| spl9_9 ),
inference(avatar_contradiction_clause,[],[f203]) ).
fof(f203,plain,
( $false
| spl9_8
| spl9_9 ),
inference(resolution,[],[f183,f200]) ).
fof(f200,plain,
( xsd_string(sK0)
| spl9_9 ),
inference(resolution,[],[f188,f88]) ).
fof(f88,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f188,plain,
( ~ xsd_integer(sK0)
| spl9_9 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f183,plain,
( ~ xsd_string(sK0)
| spl9_8 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f202,plain,
( ~ spl9_6
| spl9_7
| ~ spl9_8
| spl9_9
| ~ spl9_10
| ~ spl9_5
| ~ spl9_2
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f75,f194,f135,f167,f190,f186,f182,f178,f174]) ).
fof(f174,plain,
( spl9_6
<=> cowlThing(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f167,plain,
( spl9_5
<=> cC12(iV21080) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f135,plain,
( spl9_2
<=> cC10(iV21081) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f75,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) )
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f39,f41,f40]) ).
fof(f40,plain,
( ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
=> ( ( xsd_integer(sK0)
| ~ xsd_string(sK0) )
& ( ~ xsd_integer(sK0)
| xsd_string(sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
( ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) )
=> ( cowlNothing(sK1)
| ~ cowlThing(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X0] :
( ( xsd_integer(X0)
| ~ xsd_string(X0) )
& ( ~ xsd_integer(X0)
| xsd_string(X0) ) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ? [X0] :
( xsd_string(X0)
<~> ~ xsd_integer(X0) )
| ? [X1] :
( cowlNothing(X1)
| ~ cowlThing(X1) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(rectify,[],[f24]) ).
fof(f24,negated_conjecture,
~ ( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
inference(negated_conjecture,[],[f23]) ).
fof(f23,conjecture,
( cowlThing(iV21081)
& cC10(iV21081)
& cC12(iV21080)
& cowlThing(iV21080)
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( ~ cowlNothing(X0)
& cowlThing(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f199,plain,
spl9_6,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| spl9_6 ),
inference(resolution,[],[f176,f84]) ).
fof(f84,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f176,plain,
( ~ cowlThing(sK1)
| spl9_6 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f197,plain,
( ~ spl9_6
| spl9_7
| spl9_8
| ~ spl9_9
| ~ spl9_10
| ~ spl9_5
| ~ spl9_2
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f74,f194,f135,f167,f190,f186,f182,f178,f174]) ).
fof(f74,plain,
( ~ cowlThing(iV21081)
| ~ cC10(iV21081)
| ~ cC12(iV21080)
| ~ cowlThing(iV21080)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f172,plain,
spl9_5,
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f171,plain,
( $false
| spl9_5 ),
inference(resolution,[],[f169,f115]) ).
fof(f115,plain,
cC12(iV21080),
inference(resolution,[],[f108,f76]) ).
fof(f76,plain,
cTEST(iV21080),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
cTEST(iV21080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f108,plain,
! [X0] :
( ~ cTEST(X0)
| cC12(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( cC12(X0)
& cC8xcomp(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( cTEST(X0)
=> ( cC12(X0)
& cC8xcomp(X0) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( cTEST(X0)
<=> ( cC12(X0)
& cC8xcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f169,plain,
( ~ cC12(iV21080)
| spl9_5 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f143,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f140]) ).
fof(f140,plain,
( $false
| spl9_1 ),
inference(resolution,[],[f133,f79]) ).
fof(f79,plain,
cC4(iV21081),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
cC4(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f133,plain,
( ~ cC4(iV21081)
| spl9_1 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl9_1
<=> cC4(iV21081) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f138,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f128,f135,f131]) ).
fof(f128,plain,
( cC10(iV21081)
| ~ cC4(iV21081) ),
inference(resolution,[],[f103,f78]) ).
fof(f78,plain,
cC2(iV21081),
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
cC2(iV21081),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f103,plain,
! [X0] :
( ~ cC2(X0)
| cC10(X0)
| ~ cC4(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) )
& ( ( cC2(X0)
& cC4(X0) )
| ~ cC10(X0) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( cC10(X0)
| ~ cC2(X0)
| ~ cC4(X0) )
& ( ( cC2(X0)
& cC4(X0) )
| ~ cC10(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( cC10(X0)
<=> ( cC2(X0)
& cC4(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS160+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 19:51:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % (13915)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.35 % (13918)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.35 % (13918)First to succeed.
% 0.13/0.35 % (13918)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13915"
% 0.13/0.35 % (13918)Refutation found. Thanks to Tanya!
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.35 % (13918)------------------------------
% 0.13/0.35 % (13918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.35 % (13918)Termination reason: Refutation
% 0.13/0.35
% 0.13/0.35 % (13918)Memory used [KB]: 841
% 0.13/0.35 % (13918)Time elapsed: 0.004 s
% 0.13/0.35 % (13918)Instructions burned: 6 (million)
% 0.13/0.35 % (13915)Success in time 0.012 s
%------------------------------------------------------------------------------